13mm "led strip" spool on original spool holder

This adapter is inserted into the hole of the original spool holder to be able to use LED strip spools with a 13mm hole.

Why have I designed it?
I use many spools of this type and I have quite a few left over at home, so I decided to rewind the short test filaments that the manufacturers sent me on these small spools.
The problem is that no spool holder is suitable for such a small hole, which is why I came up with this shape using the original spool holder as a support.

In addition, it can be left inserted since it respects the space that most 1kg spools need.

I thought about doing it with a bearing but it's not necessary for something so light.